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128985792 = 26313311667
BaseRepresentation
bin1111011000000…
…10101011000000
322222201011020120
413230002223000
5231010021132
620444340240
73124234605
oct754025300
9288634216
10128985792
1166899a31
1237244680
1320951c70
14131b86ac
15b4cd02c
hex7b02ac0

128985792 has 112 divisors (see below), whose sum is σ = 379610112. Its totient is φ = 38384640.

The previous prime is 128985751. The next prime is 128985793. The reversal of 128985792 is 297589821.

It is not an unprimeable number, because it can be changed into a prime (128985793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76543 + ... + 78209.

It is an arithmetic number, because the mean of its divisors is an integer number (3389376).

Almost surely, 2128985792 is an apocalyptic number.

128985792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189805056).

128985792 is an abundant number, since it is smaller than the sum of its proper divisors (250624320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128985792 is a wasteful number, since it uses less digits than its factorization.

128985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1716 counting only the distinct ones).

The product of its digits is 725760, while the sum is 51.

The square root of 128985792 is about 11357.1912020534. The cubic root of 128985792 is about 505.2588836992.

The spelling of 128985792 in words is "one hundred twenty-eight million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1667 1984 2418 2496 2976 3224 3334 4836 5001 5952 6448 6668 9672 10002 12896 13336 19344 20004 21671 25792 26672 38688 40008 43342 51677 53344 65013 77376 80016 86684 103354 106688 130026 155031 160032 173368 206708 260052 310062 320064 346736 413416 520104 620124 671801 693472 826832 1040208 1240248 1343602 1386944 1653664 2015403 2080416 2480496 2687204 3307328 4030806 4160832 4960992 5374408 8061612 9921984 10748816 16123224 21497632 32246448 42995264 64492896 128985792